Atkin-Lehner |
2+ 3- 5- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
32160i |
Isogeny class |
Conductor |
32160 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
55296 |
Modular degree for the optimal curve |
Δ |
363609000000 = 26 · 34 · 56 · 672 |
Discriminant |
Eigenvalues |
2+ 3- 5- 0 0 6 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-5610,-160992] |
[a1,a2,a3,a4,a6] |
Generators |
[-42:48:1] |
Generators of the group modulo torsion |
j |
305147442188224/5681390625 |
j-invariant |
L |
7.8002047381067 |
L(r)(E,1)/r! |
Ω |
0.55225971520287 |
Real period |
R |
2.3540267146594 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
32160r1 64320c2 96480x1 |
Quadratic twists by: -4 8 -3 |